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harina [27]
3 years ago
6

A rock is thrown upwards with in total velocity of 75 ft/s from a height of 225 feet. The height h of the rock above the ground

t seconds after being released is given by h(t)=-16tt^2+75+225. Determine the time in seconds required for the rock to reach its maximum height. Round your answer to three decimal places.
Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Answer:

it would take 33 5.5 s to reach it's maximum height

Step-by-step explanation:

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Quiz 2 : percent and percentage
Afina-wow [57]

Answer:

82%

Step-by-step explanation:

0.82x100=82

=82%

Hope this helps

8 0
2 years ago
Read 2 more answers
(y+1) +4 rewrite each expression<br><br> i need help plss
QveST [7]
To rewrite, all we have to do is apply the associative property of addition. It allows us to write the expression as <br /><br />y + (1 + 4) <br /><br />we could even take it one step further and combining our terms for<br /><br />y + 5
7 0
2 years ago
Find the volume.<br> PLEASE HELP I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
Lana71 [14]
The answer is 1,944. the formula of volume is length times width times height
6 0
3 years ago
The quality-control manager at a compact flourescent light bulb factory wants to test the claim that the mean life of a large sh
MAXImum [283]

Answer:

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. CI [6583.336 ,6816.336]

d.  The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

Step-by-step explanation:

Population mean = u= 6500 hours.

Population standard deviation = σ=500 hours.

Sample size =n= 50

Sample mean =x`=  6,700 hours

Sample standard deviation=s=  600 hours.

Critical values, where P(Z > Z) =∝ and P(t >) =∝

Z(0.10)=1.282  

Z(0.05)=1.645  

Z(0.025)=1.960  

t(0.01)(49)= 1.299

t(0.05)= 1.677  

t(0.025,49)=2.010

Let the null and alternate hypotheses be

H0: u = 6500 against the claim Ha: u ≠ 6500

Applying Z test

Z= x`- u/ s/√n

z= 6700-6500/500/√50

Z= 200/70.7113

z= 2.82=2.82

Applying  t test

t= x`- u /s/√n

t= 6700-6500/600/√50

t= 2.82

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

Yes we reject H0  for z- test as it falls in the critical region,at the 0.05 level of significance, z=2.82 > z∝=1.645

For t test  we reject H0   as it falls in the critical region,at the 0.05 level of significance, t=2.82 > t∝=1.677 with n-1 = 50-1 = 49 degrees of freedom.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. The 95 % confidence interval of the population mean life is estimated by

x` ±  z∝/2  (σ/√n )

6700± 1.645 (500/√50)

6700±116.336

6583.336 ,6816.336

d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

6 0
3 years ago
Examine the figures. What is the ratio of squares to triangles?
Orlov [11]

Answer:

B

Step-by-step explanation:

First, count how many squares there are: 8 squares.

Now, count how many triangles there are: 6 triangles.

Ratio is simply the number of one thing divided by the number of the other. Here, since we want the ratio of squares to triangles, we have:

8 squares / 6 squares

We can simplify this to:

8 / 6 = 4 / 3

And finally, this can be written in the "ratio notation":

4 / 3 = 4 : 3

The answer is B.

5 0
3 years ago
Read 2 more answers
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